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Differential Equations
Find the general integral of the equation
(
x − y) p + (y − x − z) q = z
and a particular solution through the circle 1
,1
2 2 z = x + y =
(
x − y) p + (y − x − z) q = z
and a particular solution through the circle 1
,1
2 2 z = x + y =
Differential Equations
(x^2 -yz)p + (y^2 -zx)q = z^2 -xy
Differential Equations
(y−1)dx−(x−y−1)dy=0
Differential Equations
Consider the Burger's equation Ut+U*Ux=Uxx with the initial conditions U(x,0)=4x(1-x), 0<x<1 and the homogeneous boundary condition U(0,t)=U(1,t)=0, t>0. Choose t=0.5, k=0.05 and h=0.2. Use Explicit Finite Difference Method to solve the burger's equation and write Matlab code to solve the value of Uij at each mesh point.
Differential Equations
y'''-3y''+2y'=0
Differential Equations
(1-x^ 2 )dy/dx-x^ 2 y=(1+x)* sqrt (1- x^ 2 )
Differential Equations
Determine whether the equation is exact . If it is , then solve it . (e ^ t * y + t * e ^ t * y) * d * t + (t * e ^ t + 2) * d * y = 0 .
Differential Equations
(y ^ 2 * sin x) * d * x + (1 / x - y / x) * d * y = 0
Differential Equations
dy / (3x ^ 2) = (1 + y ^ 2) ^ 1.5 * d * x
Differential Equations
xy dx + (2x ^ 2 + 3y ^ 2 - 20) * d * y = 0 .
